Tensor product of modules over csp-rings
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 66 (2020), pp. 56-63 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The tensor product of modules over csp-rings is investigated. Criteria for the equality of such a product to zero are obtained. Pure submodules and flat modules are fully described in the category of modules over a csp-ring.
Keywords: csp-ring, tensor product, pure submodule, flat module.
@article{VTGU_2020_66_a3,
     author = {E. A. Timoshenko},
     title = {Tensor product of modules over csp-rings},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {56--63},
     year = {2020},
     number = {66},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2020_66_a3/}
}
TY  - JOUR
AU  - E. A. Timoshenko
TI  - Tensor product of modules over csp-rings
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2020
SP  - 56
EP  - 63
IS  - 66
UR  - http://geodesic.mathdoc.fr/item/VTGU_2020_66_a3/
LA  - ru
ID  - VTGU_2020_66_a3
ER  - 
%0 Journal Article
%A E. A. Timoshenko
%T Tensor product of modules over csp-rings
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2020
%P 56-63
%N 66
%U http://geodesic.mathdoc.fr/item/VTGU_2020_66_a3/
%G ru
%F VTGU_2020_66_a3
E. A. Timoshenko. Tensor product of modules over csp-rings. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 66 (2020), pp. 56-63. http://geodesic.mathdoc.fr/item/VTGU_2020_66_a3/

[1] A. A. Fomin, “Some mixed abelian groups as modules over the ring of pseudo-rational numbers”, Abelian Groups and Modules, Birkhäuser, Basel et al., 1999, 87–100 | DOI | MR | Zbl

[2] P. A. Krylov, E. G. Pakhomova, E. I. Podberezina, “On one class of mixed abelian groups”, Vestnik Tomskogo gosudarstvennogo universiteta – Tomsk State University Journal, 2000, no. 269, 47–51

[3] E. G. Zinoviev, “Injective and divisible modules over csp-rings”, Vestnik Tomskogo gosudarstvennogo universiteta – Tomsk State University Journal, 2007, no. 299, 96–97

[4] E. A. Timoshenko, “Projective modules over the ring of pseudorational numbers”, Zhurnal Sibirskogo Federal'nogo Universiteta. Matematika i Fizika – Journal of Siberian Federal University. Mathematics and Physics, 4:4 (2011), 541–550

[5] E. A. Timoshenko, “Projective modules over csp-rings”, Zhurnal Sibirskogo Federal'nogo Universiteta. Matematika i Fizika – Journal of Siberian Federal University. Mathematics and Physics, 5:4 (2012), 581–585

[6] T. Y. Lam, Lectures on modules and rings, Springer, Berlin–Heidelberg–New York, 1999 | DOI | Zbl

[7] C. Faith, Algebra, v. 1, Springer, Berlin–Heidelberg–New York, 1973 | DOI | MR | MR | Zbl

[8] H. Cartan, S. Eilenberg, Homological algebra, Princeton University Press, Princeton, 1956 | MR | MR | Zbl

[9] A. V. Tsarev, “Projective and generating modules over the ring of pseudorational numbers”, Math. Notes, 80:3 (2006), 417–427 | DOI | DOI | MR | Zbl